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A multiple of a number is the product of that number and an integer. For example, 10 is a multiple of 5 because 5 × 2 = 10, so 10 is divisible by 5 and 2. Because 10 is the smallest positive integer that is divisible by both 5 and 2, it is the least common multiple of 5 and 2.
Synonyms for GCD include greatest common factor (GCF), highest common factor (HCF), highest common divisor (HCD), and greatest common measure (GCM). The greatest common divisor is often written as gcd( a , b ) or, more simply, as ( a , b ) , [ 3 ] although the latter notation is ambiguous, also used for concepts such as an ideal in the ring of ...
The greatest common divisor (GCD) of integers a and b, at least one of which is nonzero, is the greatest positive integer d such that d is a divisor of both a and b; that is, there are integers e and f such that a = de and b = df, and d is the largest such integer.
Let p and q be polynomials with coefficients in an integral domain F, typically a field or the integers. A greatest common divisor of p and q is a polynomial d that divides p and q, and such that every common divisor of p and q also divides d.
Butternut Squash Lasagna. Fall pasta recipes for the win! Get your autumnal fill of butternut squash sauce, fresh sage, Italian sausage, and of course, lots of melty cheese.
The numbers 8 and 9 are coprime, despite the fact that neither—considered individually—is a prime number, since 1 is their only common divisor. On the other hand, 6 and 9 are not coprime, because they are both divisible by 3. The numerator and denominator of a reduced fraction are coprime, by definition.
From January 2008 to December 2012, if you bought shares in companies when William J. Ryan joined the board, and sold them when he left, you would have a -30.6 percent return on your investment, compared to a -2.8 percent return from the S&P 500.
From January 2008 to December 2012, if you bought shares in companies when Lloyd H. Dean joined the board, and sold them when he left, you would have a 12.1 percent return on your investment, compared to a -2.8 percent return from the S&P 500.